TY - JOUR TI - Approximation of functions and all derivatives on compact sets AU - Armeniakos, S. AU - Kotsovolis, G. AU - Nestoridis, V. JO - MONATSHEFTE FUR MATHEMATIK PY - 2022 VL - 197 TODO - 1 SP - 137-148 PB - Springer-Verlag SN - 0026-9255 TODO - 10.1007/s00605-021-01604-x TODO - null TODO - In Mergelyan type approximation we uniformly approximate functions on compact sets K by polynomials or rational functions or holomorphic functions on varying open sets containing K. In the present paper we consider analogous approximation, where uniform convergence on K is replaced by uniform approximation on K of all order derivatives. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature. ER -